Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 27, 5, 6, 7*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
4	instantiation	45, 26, 8	⊢
	: , : , :
5	instantiation	9, 18	⊢
	:
6	instantiation	10, 11	⊢
	:
7	instantiation	12, 20, 13, 14*	⊢
	: , :
8	instantiation	45, 31, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	instantiation	16, 21, 17	⊢
	:
12	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
13	instantiation	45, 26, 18	⊢
	: , : , :
14	instantiation	19, 20	⊢
	:
15	instantiation	45, 36, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
17	instantiation	22, 23, 24	⊢
	: , : , :
18	instantiation	45, 31, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
20	instantiation	45, 26, 27	⊢
	: , : , :
21	instantiation	45, 28, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
24	instantiation	29, 34, 35, 30	⊢
	: , : , :
25	instantiation	45, 36, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	45, 31, 32	⊢
	: , : , :
28	instantiation	33, 34, 35	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	45, 36, 44	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	instantiation	45, 46, 37	⊢
	: , : , :
35	instantiation	38, 39, 40	⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	45, 41, 42	⊢
	: , : , :
40	instantiation	43, 44	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
42	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements